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Question

If a=i+j, b=2jk and r×a=b×a, r×b=a×b, then r|r| is equal to

A
111(i+3jk)
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B
111(i3j+k)
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C
111(ij+k)
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D
None of these
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Solution

The correct option is A 111(i+3jk)
r×a=b×a
r×b=[b×a]
Therefore
r×b=r×a
r×b+r×a=0
r×(a+b)=0
Hence r is a vector parallel to a+b
Now
a+b=i+3jk
Hence
r|r|
=11+9+1(i+3jk)

=111(i+3jk)

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